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Finding the Third Proportional to 470,352.38 and 694,456.88

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Solution

The third proportional to 470,352.38 and 694,456.88 is: 1,025,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,352.38 : 694,456.88 = 694,456.88 : x
  2. Step 2: Convert to fraction form
    470,352.38/694,456.88 = 694,456.88/x
  3. Step 3: Cross multiply
    470,352.38x = 694,456.88 × 694,456.88
  4. Step 4: Simplify right side
    470,352.38x = 482,270,351,234.77
  5. Step 5: Solve for x
    x = 482,270,351,234.77/470,352.38
  6. Step 6: Final answer
    x = 1,025,338.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.